Average Error: 12.2 → 0.5
Time: 3.6s
Precision: binary64
\[\]
↓
\[\]
↓
double code(double x, double y, double z) {
	return ((double) (((double) (x * ((double) (y + z)))) / z));
}

↓
double code(double x, double y, double z) {
	double VAR;
	if ((((double) (((double) (x * ((double) (y + z)))) / z)) <= -7.369010738208401e+305)) {
		VAR = ((double) (x + ((double) (y * ((double) (x / z))))));
	} else {
		double VAR_1;
		if ((((double) (((double) (x * ((double) (y + z)))) / z)) <= -2.481280597542769e-166)) {
			VAR_1 = ((double) (x + ((double) (((double) (x * y)) * ((double) (1.0 / z))))));
		} else {
			double VAR_2;
			if (((((double) (((double) (x * ((double) (y + z)))) / z)) <= 3.786775087893776e-303) || !(((double) (((double) (x * ((double) (y + z)))) / z)) <= 6.184206758893877e+287))) {
				VAR_2 = ((double) (x + ((double) (x * ((double) (y / z))))));
			} else {
				VAR_2 = ((double) (((double) (x * ((double) (y + z)))) / z));
			}
			VAR_1 = VAR_2;
		}
		VAR = VAR_1;
	}
	return VAR;
}

Error
Bits error versus x
Bits error versus y
Bits error versus z
Try it out
Your Program's Arguments
Results
Enter valid numbers for all inputs
Target
Original12.2
Target3.3
Herbie0.5
\[\]
Derivation
  1. Split input into 4 regimes
  2. if  (/ (* x (+ y z)) z)  < -7.36901073820840088e305
    1. Initial program 63.0
      \[\]
    2. Simplified0.5
      \[\leadsto \]
    3. Using strategy rm
    4. Applied add-cube-cbrt0.7
      \[\leadsto \]
    5. Applied *-un-lft-identity0.7
      \[\leadsto \]
    6. Applied times-frac0.7
      \[\leadsto \]
    7. Applied associate-*r*0.6
      \[\leadsto \]
    8. Simplified0.6
      \[\leadsto \]
    9. Taylor expanded around 0 21.9
      \[\leadsto \]
    10. Simplified0.3
      \[\leadsto \]
    if -7.36901073820840088e305 <  (/ (* x (+ y z)) z)  < -2.48128059754276912e-166
    1. Initial program 0.5
      \[\]
    2. Simplified4.9
      \[\leadsto \]
    3. Using strategy rm
    4. Applied div-inv4.9
      \[\leadsto \]
    5. Applied associate-*r*0.4
      \[\leadsto \]
    if -2.48128059754276912e-166 <  (/ (* x (+ y z)) z)  < 3.78677508789377591e-303 or 6.1842067588938772e287 <  (/ (* x (+ y z)) z) 
    1. Initial program 37.8
      \[\]
    2. Simplified0.9
      \[\leadsto \]
    if 3.78677508789377591e-303 <  (/ (* x (+ y z)) z)  < 6.1842067588938772e287
    1. Initial program 0.4
      \[\]
  3. Recombined 4 regimes into one program.
  4. Final simplification0.5
    \[\leadsto \]
Reproduce
herbie shell --seed 2020191 
(FPCore (x y z)
  :name "Numeric.SpecFunctions:choose from math-functions-0.1.5.2"
  :precision binary64

  :herbie-target
  (/ x (/ z (+ y z)))

  (/ (* x (+ y z)) z))